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Finding the Fourth Proportional to 3,744.45, 5,168.00 and 3,114.14

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Solution

The fourth proportional to 3,744.45, 5,168.00 and 3,114.14 is: 4,298.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744.45 : 5,168.00 = 3,114.14 : x
  2. Step 2: Convert to fraction form
    3,744.45/5,168.00 = 3,114.14/x
  3. Step 3: Cross multiply
    3,744.45x = 5,168.00 × 3,114.14
  4. Step 4: Simplify right side
    3,744.45x = 16,093,857.47
  5. Step 5: Solve for x
    x = 16,093,857.47/3,744.45
  6. Step 6: Final answer
    x = 4,298.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.